Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186801	Solve for x	1/(x^2)+1/x=1/(2x^2)	$\frac{1}{x^{2}} + \frac{1}{x} = \frac{1}{2 x^{2}}$
186802	Graph	y=e^2	$y = e^{2}$
186803	Simplify	(-x^2-3x+10)(x^2+x+1)	$(- x^{2} - 3 x + 10) (x^{2} + x + 1)$
186804	Solve for b	\|b+3\|=\|2b-2\|	$\| b + 3 \| = \| 2 b - 2 \|$
186805	Graph	y<2 y>x	$y < 2$ $y > x$
186806	Find the Holes in the Graph	(4x+8)/(x^2+2x)	$\frac{4 x + 8}{x^{2} + 2 x}$
186807	Solve for u	u^2=-9u	$u^{2} = - 9 u$
186808	Solve for x	3+5x-kx=y	$3 + 5 x - k x = y$
186809	Divide	(3x^2)÷3	$3 x^{2} \div 3$
186810	Solve the System of Equations	x+y=6 y=2x	$x + y = 6$ $y = 2 x$
186811	Graph	\|8-2p\|>=2	$\| 8 - 2 p \| \geq 2$
186812	Find the x and y Intercepts	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$
186813	Solve the System of Equations	x+y+z=4 x=-2y z=-3y	$x + y + z = 4$ $x = - 2 y$ $z = - 3 y$
186814	Graph	f(x)=a^2	$f (x) = a^{2}$
186815	Solve for a	a=a/b+3	$a = \frac{a}{b} + 3$
186816	Write in Standard Form	(x-5)(2x+3)=7	$(x - 5) (2 x + 3) = 7$
186817	Solve for x	x/4-(x+20)/15=1/2	$\frac{x}{4} - \frac{x + 20}{15} = \frac{1}{2}$
186818	Expand the Logarithmic Expression	log base b of 7x*2y	$\log_{b} (7 x \cdot 2 y)$
186819	Solve for x	log base 4 of 2x^2-4x=2	$\log_{4} (2 x^{2} - 4 x) = 2$
186820	Evaluate	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
186821	Factor	(x^2-3x)	$(x^{2} - 3 x)$
186822	Write in Slope-Intercept Form	y-5=-1/3(x+3)	$y - 5 = - \frac{1}{3} (x + 3)$
186823	Graph	f(x)=4 if x<=3; 2 if x>3	$f (x) = {\begin{cases} 4 & x \leq 3 \\ 2 & x > 3 \end{cases}$
186824	Find the Excluded Values	(2x+6)/(4x-8)	$\frac{2 x + 6}{4 x - 8}$
186825	Multiply	(1/2a^2-3/5b^2-3/4ab)(2/3ab^2)	$(\frac{1}{2} a^{2} - \frac{3}{5} b^{2} - \frac{3}{4} a b) (\frac{2}{3} a b^{2})$
186826	Evaluate	4/7(2/3)^2-1/9	$\frac{4}{7} {(\frac{2}{3})}^{2} - \frac{1}{9}$
186827	Graph	f(x)=x if x!=0; 2 if x=0	$f (x) = {\begin{cases} x & x \neq 0 \\ 2 & x = 0 \end{cases}$
186828	Graph	y<-1/2x+2	$y < \frac{- 1}{2} x + 2$
186829	Solve for c	p(x)=-x^3+cx^2-4x+3	$p (x) = - x^{3} + c x^{2} - 4 x + 3$
186830	Find the Distance Between Two Points	(-2,5) and (-8,-3)	$(- 2, 5)$ and $(- 8, - 3)$
186831	Graph	f(x)=x^2-2 , x>=0	$f (x) = x^{2} - 2$ , $x \geq 0$
186832	Solve for x	(x^2+6x)^(1/3)=3	${(x^{2} + 6 x)}^{\frac{1}{3}} = 3$
186833	Solve for x	1/2+x=2/3	$\frac{1}{2} + x = \frac{2}{3}$
186834	Find the Quotient	(x^3-2x^2-7)÷(x+2)	$(x^{3} - 2 x^{2} - 7) \div (x + 2)$
186835	Find the Product	(ab+3)(ab-3)	$(a b + 3) (a b - 3)$
186836	Multiply	(10x^3y^4)/(8x^3y^3)*(12x^4y)/(11x^3y^2)	$\frac{10 x^{3} y^{4}}{8 x^{3} y^{3}} \cdot \frac{12 x^{4} y}{11 x^{3} y^{2}}$
186837	Solve the Inequality for z	1/2z+1/3z>=7/12z-1/4	$\frac{1}{2} z + \frac{1}{3} z \geq \frac{7}{12} z - \frac{1}{4}$
186838	Subtract	4/(m+3)-(9m)/(m+6)	$\frac{4}{m + 3} - \frac{9 m}{m + 6}$
186839	Divide Using Long Polynomial Division	(4x^4-3x^3+5x^2-x+3)/(3x^2-4x+6)	$\frac{4 x^{4} - 3 x^{3} + 5 x^{2} - x + 3}{3 x^{2} - 4 x + 6}$
186840	Solve for x	12^(3x+4)<=2^(5x+3)*3^(2x-1)	$12^{3 x + 4} \leq 2^{5 x + 3} \cdot 3^{2 x - 1}$
186841	Solve the System of Equations	-x+y+2z=-3 3x-y+z=-2 2x-3y-4z=1	$- x + y + 2 z = - 3$ $3 x - y + z = - 2$ $2 x - 3 y - 4 z = 1$
186842	Simplify	(1-25/(x^2))/((x^2)/25+x/5)	$\frac{1 - \frac{25}{x^{2}}}{\frac{x^{2}}{25} + \frac{x}{5}}$
186843	Write in Standard Form	-2x-3=y	$- 2 x - 3 = y$
186844	Graph Using a Table of Values	f(x) = square root of x-5-1	$f (x) = \sqrt{x - 5} - 1$
186845	Evaluate	2cos(15 degrees )^2-1	$2 \cos^{2} (15 °) - 1$
186846	Find the x and y Intercepts	f(x)=7x^3+7x+4+9x^2	$f (x) = 7 x^{3} + 7 x + 4 + 9 x^{2}$
186847	Solve for x	7/(x+5)=10/5	$\frac{7}{x + 5} = \frac{10}{5}$
186848	Multiply	(4x^3y^5z)(6x^5y^4z)	$(4 x^{3} y^{5} z) (6 x^{5} y^{4} z)$
186849	Simplify	3x^2(4x^3y)	$3 x^{2} (4 x^{3} y)$
186850	Solve for x	(x^2+24x)^(1/4)=3	${(x^{2} + 24 x)}^{\frac{1}{4}} = 3$
186851	Evaluate	2cos((3pi)/4)	$2 \cos (\frac{3 π}{4})$
186852	Evaluate	2(-n-3)-7(5+2n)	$2 (- n - 3) - 7 (5 + 2 n)$
186853	Find the Roots (Zeros)	(2x^3+7x^2-10x-24)/(x+4)	$\frac{2 x^{3} + 7 x^{2} - 10 x - 24}{x + 4}$
186854	Simplify	(x^(7/2))/(x^3)	$\frac{x^{\frac{7}{2}}}{x^{3}}$
186855	Solve the Inequality for x	(8x)/(x+9)>=0	$\frac{8 x}{x + 9} \geq 0$
186856	Find the Fourth Term	-3/5 , 6/5 , -12/5	$- \frac{3}{5}$ , $\frac{6}{5}$ , $- \frac{12}{5}$
186857	Write in Standard Form	4y^2-9x^2-54x+8y-81=0	$4 y^{2} - 9 x^{2} - 54 x + 8 y - 81 = 0$
186858	Write Using Negative Exponents	x^2-4	$x^{2} - 4$
186859	Solve for x	-3+3x=-2(x+1)	$- 3 + 3 x = - 2 (x + 1)$
186860	Evaluate	15÷(-3)+(5\|-2\|)÷(-5)	$15 \div (- 3) + 5 \| - 2 \| \div (- 5)$
186861	Simplify	1/5 square root of 75xy^2z^3	$\frac{1}{5} \sqrt{75 x y^{2}} z^{3}$
186862	Simplify	(x-1)/(15x+12)+(8-2x)/(15x+12)	$\frac{x - 1}{15 x + 12} + \frac{8 - 2 x}{15 x + 12}$
186863	Write in Standard Form	(2k^3+6k+1)-(2k^2+1)	$(2 k^{3} + 6 k + 1) - (2 k^{2} + 1)$
186864	Simplify	((x^3+2^3)/(x^2-2x))/(((x+2)^3)/(x^2+4x+4))	$\frac{\frac{x^{3} + 2^{3}}{x^{2} - 2 x}}{\frac{{(x + 2)}^{3}}{x^{2} + 4 x + 4}}$
186865	Simplify	x/(x-3)*(2x)/(x+5)	$\frac{x}{x - 3} \cdot \frac{2 x}{x + 5}$
186866	Solve the Inequality for x	x^2-2x+1<=0	$x^{2} - 2 x + 1 \leq 0$
186867	Solve for x	-4^x+1=3x-4	$- 4^{x} + 1 = 3 x - 4$
186868	Find the Exact Value	cos(75 degrees )^2-sin(75 degrees )^2	$\cos^{2} (75 °) - \sin^{2} (75 °)$
186869	Graph	f(x)=-2x-8 if x<-3; x-10 if x>5	$f (x) = {\begin{cases} - 2 x - 8 & x < - 3 \\ x - 10 & x > 5 \end{cases}$
186870	Write in Standard Form	(-5v^3-9v^2+6v)-(-5v^3+9v^2-6v)	$(- 5 v^{3} - 9 v^{2} + 6 v) - (- 5 v^{3} + 9 v^{2} - 6 v)$
186871	Write the Fraction in Simplest Form	arctan(tan((11pi)/12))	$\arctan (\tan (\frac{11 π}{12}))$
186872	Solve the System of Equations	-2y=4x-4 and 7x=-4y+10	$- 2 y = 4 x - 4$ and $7 x = - 4 y + 10$
186873	Simplify	((k^2-2k)/3)÷((k-2)/k)	$\frac{k^{2} - 2 k}{3} \div \frac{k - 2}{k}$
186874	Simplify	(x-4)/(x^2-2x)+4/(x^2-4)	$\frac{x - 4}{x^{2} - 2 x} + \frac{4}{x^{2} - 4}$
186875	Solve by Completing the Square	x^2+23x+111=11x	$x^{2} + 23 x + 111 = 11 x$
186876	Find the Exact Value	16^(-3/4)	$16^{- \frac{3}{4}}$
186877	Simplify	((3x^5yz^-1)/(15x^2y^6z^3))^-2	${(\frac{3 x^{5} y z^{- 1}}{15 x^{2} y^{6} z^{3}})}^{- 2}$
186878	Graph	A=pir^2	$A = π r^{2}$
186879	Solve for y	30y-25=9y^2	$30 y - 25 = 9 y^{2}$
186880	Multiply	(x+i)(x-i)	$(x + i) (x - i)$
186881	Solve for a	(x+a)^2=b	${(x + a)}^{2} = b$
186882	Multiply	[[2,4,-3],[6,1,0]]*[[-3,2],[-2,3],[-8,5]]	$[\begin{array}{c} 2 & 4 & - 3 \\ 6 & 1 & 0 \end{array}] \times [\begin{array}{c} - 3 & 2 \\ - 2 & 3 \\ - 8 & 5 \end{array}]$
186883	Solve for x	log base x+4 of 3x^2-4x+2=2	$\log_{x + 4} (3 x^{2} - 4 x + 2) = 2$
186884	Divide	10.12÷(10^5)	$10.12 \div 10^{5}$
186885	Evaluate the Function	f(x)=2x^5-3x^4-9x^3+8x^2+2 at x=-3	$f (x) = 2 x^{5} - 3 x^{4} - 9 x^{3} + 8 x^{2} + 2$ at $x = - 3$
186886	Simplify	6x*6x^3	$6 x \cdot 6 x^{3}$
186887	Solve the Inequality for r	r+4-2(r-14)>0	$r + 4 - 2 (r - 14) > 0$
186888	Find the x and y Intercepts	f(x)=-2(x-1)	$f (x) = - 2 (x - 1)$
186889	Solve for x	2x-4=3^(-x)+1	$2 x - 4 = 3^{- x} + 1$
186890	Evaluate	2-8/3	$2 - \frac{8}{3}$
186891	Simplify	square root of (4ab^5)/(8a^4b^2)	$\sqrt{\frac{4 a b^{5}}{8 a^{4} b^{2}}}$
186892	Expand the Logarithmic Expression	log of x/( cube root of y^4z^2)	$\log (\frac{x}{\sqrt[3]{y^{4}} z^{2}})$
186893	Graph Using a Table of Values	h(x)=4^x	$h (x) = 4^{x}$
186894	Factor	1000d^3+729e^6	$1000 d^{3} + 729 e^{6}$
186895	Solve the Inequality for x	12x+7>=3x-2	$12 x + 7 \geq 3 x - 2$
186896	Simplify	(x^2-y^2)/((x-y)^2)	$\frac{x^{2} - y^{2}}{{(x - y)}^{2}}$
186897	Evaluate	log base 4 of 81	$\log_{4} (81)$
186898	Solve for a	( fifth root of x^4)/(x^(1/2))=x^a	$\frac{\sqrt[5]{x^{4}}}{x^{\frac{1}{2}}} = x^{a}$
186899	Simplify	x square root of 12y	$x \sqrt{12 y}$
186900	Multiply	(a-3)(a^2+3a+9)(a^2-2b)	$(a - 3) (a^{2} + 3 a + 9) (a^{2} - 2 b)$